Simulation and sensitivity analysis of air system for the compressor test piece
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摘要: 将空气系统简化为由节点和元件组成的一维拓扑网络,建立各部分的流动控制方程组,编制了仿真程序,利用循环中点求积牛顿法对方程组进行求解。将其应用于某压气机试验件空气系统计算,并对试验件空气系统的参数进行敏感性分析,探讨影响空气系统功能的主要因素。结果表明:利用参数微分法求解同伦方程,可增大牛顿法求解的收敛速度与收敛域;在该压气机试验件中,利用卸荷腔结构和封严能力较强的篦齿封严环可以将流路有效分隔开,有利于分别实现控制目标。Abstract: Based on fluid network method and mathematical models of components,the air system of engine compressor was simplified as a one-dimensional topological network composed of nodes and components.A program was developed to simulate this system for solving the flow control equations by the rotative mid-point mensuration combined with the Newton-Raphson method.The program was applied to simulation of the air system of a compressor test piece.The sensitivity analysis on the parameters of the air system of the test piece was carried out,and the main factors affecting the function of the air system were discussed.Results showed that the convergence speed and convergence region of Newton method can be increased by using the parametric differential method to solve the homotopy equation;in the compressor test piece,the flow path can be effectively separated by using the unloading chamber structure and the labyrinth with strong sealing ability,contributing to achieving the control objectives respectively.
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